Higher-derivative massive actions from dimensional reduction

Abstract

A procedure to obtain higher-derivative free massive actions is proposed. It consists in dimensional reduction of conventional two-derivative massless actions, where solutions to constraints bring in higher derivatives. We apply this procedure to derive the arbitrary dimensional generalizations of (linearized) New Massive Gravity and New Topologically Massive Gravity.

18 pages

References in corpus (7)

• Massive Gravity in Three Dimensions
• Ghost-free, finite, fourth order D=3 (alas) gravity
• A note on higher-derivative actions for free higher-spin fields
• A new spin-2 self-dual model in $D=2+1$
• Generalised connections and higher-spin equations
• Dual Massive Gravity
• On Topologically Massive Spin-2 Gauge Theories beyond Three Dimensions

Cited by in corpus (11)

• Classical and quantum stability of higher-derivative dynamics
• Weyl Action of Two-Column Mixed-Symmetry Field and Its Factorization Around (A)dS Space
• Multi-Hamiltonian formulations and stability of higher-derivative extensions of $3d$ Chern-Simons
• Higher-derivative harmonic oscillators: stability of classical dynamics and adiabatic invariants
• A note on linearized "New Massive Gravity" in arbitrary dimensions
• Geometrical structure of Weyl invariants for spin three gauge field in general gravitational background in $d=4$
• Ghost-free infinite derivative gravity
• Massive "spin-2" theories in arbitrary $D\ge 3$ dimensions
• Soldering spin-3 opposite helicities in $D=2+1$
• Dimensional reduction of the massless limit of the linearized "New Massive Gravity"
• Weyl and transverse diffeomorphism invariant spin-2 models in D=2+1